The required point-slope form of the line is y + 7 = -5(x -2). Option A is correct.
Given that,
The slope of the line is -5,
point = (2 , -7),
What is the slope of the line?
The slope of the line is the tangent angle made by the line with horizontal. i.e. m =tanx where x in degrees.
What is a Line?
A line can be defined by the shortest distance between two points is called a line.
In the question, a slope of the line and a point on the line is given,
The point-slope form of the line is given by,
[tex]y-y_1 = m(x - x_1)\\[/tex]
[tex]x_1 = 2 , y_1 = -7[/tex]
m = -5
Put all values in the standard form,
y + 7 = -5(x - 2)
Thus, the required point-slope form of the line is y + 7 = -5(x -2). Option A is correct.
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